Klein-Beltrami Model. Part II

Roland Coghetto 1
  • 1 , 7100, La Louvière, Belgium


Tim Makarios (with Isabelle/HOL1) and John Harrison (with HOL-Light2) have shown that “the Klein-Beltrami model of the hyperbolic plane satisfy all of Tarski’s axioms except his Euclidean axiom” [, , , ].

With the Mizar system [], [] we use some ideas are taken from Tim Makarios’ MSc thesis [] for formalized some definitions (like the tangent) and lemmas necessary for the verification of the independence of the parallel postulate. This work can be also treated as a further development of Tarski’s geometry in the formal setting [9].

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